Squeeze liquid out of zucchini with hands.
Combine zucchini, onion, parsley, cheese, 1 cup breadcrumbs, salt, pepper, and eggs.
Shape into patties and cover with dry breadcrumbs.
Place on a greased cookie sheet; brush with melted butter.
Bake at 350° for 30 to 40 minutes or until golden brown. (Patties can be browned in skillet in butter.)